# Quantitative Aptitude – Mixed Questions Set 12

Hello Aspirants.

Welcome to Online Quantitative Aptitude Section in AffairsCloud.com. Here we are creating question sample in Number Series and Miscellaneous which is common for SBI, IBPS, RBI, LIC, NICL and other competitive exams.

Q (1-5) In the given series identify what should come in place of question mark(?)

1. 15, 74, 49, 24, -1, ?
1. -15
2. -18
3. -23
4. -26
5. None
Explanation :
15*5-1 = 74
15*4-11 =49
15*3-21 = 24
15*2-31 =-1
15*1-41= -26

2. ?, 11,24,75,304
1. 5
2. 6
3. 7
4. 9
5. 10
Explanation :
10*1+1 =11
11*2+2 =24
24*3+3 =75
75*4+4 =304

3. ?, 4, 45, 176, 475
1. -1
2. 1
3. 2
4. 3
5. 5
Explanation :14 -13-12 =-1
24 -23-22 =4
34 -33-32 =45
44 -43-42 =176
54 -53-52 =475

4. 3, 7,?, 24, 33,69
1. 8
2. 15
3. 18
4. 21
5. 23
Explanation :
3+ (1+1)2 =7
7+ (2-1)2 =8
8+ (3+1)2 =24
24+ (4-1)2 = 33
33+ (5+1)2 = 69

5. 12, 42, 174, 654, 1914, 3774, ?
1. 3714
2. 3774
3. 6374
4. 8124
5. None
Explanation :
12*6-30 =42
42*5-36 =174
174*4-42=654
654*3-48=1914
1914*2-54 =3774
3774*1-60 = 3714

6. A tank is connected with four pipes A, B, C and D of which two are inlet pipes and two are outlet pipes. The time taken by the pipes A, B, C and D either to fill or empty the tank is 12, 15, 30 and 24 hrs respectively. All the four pipes are opened then they filled an empty tank in 120 hrs. Then which two pipes could be the outlet pipes?
1. A and B
2. B and C
3. C and D
4. A and C
5. B and D
Answer – 5. B and D
Efficiency of A, B, C and D are = 8.333%, 6.666%, 3.333% and 4.166%
Efficiency of A+B+C+D is = 0.833%
Now comparing options
(8.333+3.333-6.666-4.1666) = 0.833%
Hence B and D

7. In a family of four members -Father, Mother, Son, and Daughter the sum of their ages 8 years ago is 100. Today the daughter was married and left the family. If after 2 years son gets married and his wife will join the family then the sum of their ages is 137.If the sum of ages of Daughter and Son’s wife is 41. Then what would be the age son’s wife when daughter was married?
1. 22
2. 21
3. 20
4. 18
5. Cannot be determined
Explanation:
F+M+S+D -8*4 = 100
F+M+S+D = 132
After two years
F+M+S+6+W = 137
F+M+S+W =131
D-W =1
D+W =41
D= 21 W =20
Age =20-2 =18

8. A solid sphere of 8cm is melted to form a number of small cones and number of cylinders in the ratio of 2:1.The radius of each cone thus formed is equal to its height. The radius of each cylinder is equal to half of its height. The radius of cone and cylinder are equal. The height of the cylinder is 4cm. The number of small cones formed is?
1. 32
2. 64
3. 128
4. 256
5. None
Explanation:
4/3*83 = 2nr3 (1/3+1)
r =2
n =32
Cones = 2n =64

9. x’ workers are employed to complete a work. From second day onwards, one worker left every day. The work was finished when the last worker was left. If no worker is left after work started, then they would have finished the work in 55% of the time. Then how many workers are employed initially?
1. 10
2. 11
3. 12
4. 15
5. 20
(x+x-1+x-2+ ………+2+1)= x*x*55/100
x (x+1)/2 = x*x*55/100
x =10

10. In a flowing river, Ramesh can row 30 Km downstream in 10 hrs less than Upstream. But the downstream journey would take 2 hrs less than Upstream to cover the same distance at double the speed. What is his speed of the river in km/hr?
1. 1 Km/hr
2. 2 Km/hr
3. 3 Km/hr
4. 4 Km/hr
5. Cannot be determined